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Hierarchical Assignments: Stability and Fairness

Author

Listed:
  • Eriksson, Kimmo

    (Department of Mathematics)

  • Karlander, Johan

    (Department of Mathematics)

  • Öller, Lars-Erik

    () (Dept. of Economic Statistics, Stockholm School of Economics)

Abstract

We study a simple model of the job market, where workers are assigned to employers. We specify conditions under which the market is hierarchical in a natural sense. For such hierarchies, we can state explicit values for the earnings in the worker-optimal and employer-optimal solutions. This is a discrete analogue to the Ricardian differential rent model of Sattinger (1979). We discuss the compatibility problems between fairness and stability of earnings and assignments and argue for a certain solution.

Suggested Citation

  • Eriksson, Kimmo & Karlander, Johan & Öller, Lars-Erik, 1997. "Hierarchical Assignments: Stability and Fairness," SSE/EFI Working Paper Series in Economics and Finance 201, Stockholm School of Economics.
  • Handle: RePEc:hhs:hastef:0201
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    References listed on IDEAS

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    1. Michael Kremer, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 551-575.
    2. Lindbeck, Assar & Snower, Dennis J, 1996. "Reorganization of Firms and Labor-Market Inequality," American Economic Review, American Economic Association, vol. 86(2), pages 315-321, May.
    3. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-880, June.
    4. Bloch, Francis & Ryder, Harl, 2000. "Two-Sided Search, Marriages, and Matchmakers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 93-115, February.
    5. Feldman, Allan M & Kirman, Alan, 1974. "Fairness and Envy," American Economic Review, American Economic Association, vol. 64(6), pages 995-1005, December.
    6. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
    7. Sattinger, Michael, 1979. "Differential Rents and the Distribution of Earnings," Oxford Economic Papers, Oxford University Press, vol. 31(1), pages 60-71, March.
    8. Ken Burdett & Melvyn G. Coles, 1997. "Marriage and Class," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 141-168.
    9. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
    10. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
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    Cited by:

    1. Marcus Mossfeldt & Par Osterholm, 2011. "The persistent labour-market effects of the financial crisis," Applied Economics Letters, Taylor & Francis Journals, vol. 18(7), pages 637-642.
    2. Jan-Erik Antipin & Farid Jimmy Boumediene & Pär Österholm, 2014. "On the Usefulness of Constant Gain Least Squares when Forecasting the Unemployment Rate," Applied Economics Quarterly (formerly: Konjunkturpolitik), Duncker & Humblot GmbH, Berlin, vol. 60(4), pages 315-336.
    3. Meredith Beechey & Pär Österholm, 2014. "Central Bank Forecasts of Policy Interest Rates: An Evaluation of the First Years," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 43(1), pages 63-78, February.
    4. Boman, Mattias & Huhtala, Anni & Nilsson, Charlotte & Alroth, Sofia & Bostedt, Göran & Mattssson, Leif & Gong, Peichen, 2003. "Applying the Contingent Valuation Method in Resource Accounting: A Bold Proposal," Working Papers 85, National Institute of Economic Research.
    5. Östblom, Göran & Ljunggren Söderman, Maria & Sjöström, Magnus, 2010. "Analysing future solid waste generation - Soft linking a model of waste management with a CGE-model for Sweden," Working Papers 118, National Institute of Economic Research.
    6. Lindén, Johan, 2004. "The Labor Market in KIMOD," Working Papers 89, National Institute of Economic Research.
    7. Pär Österholm, 2014. "Survey data and short-term forecasts of Swedish GDP growth," Applied Economics Letters, Taylor & Francis Journals, vol. 21(2), pages 135-139, January.
    8. Österholm, Pär, 2013. "Forecasting Business Investment in the Short Term Using Survey Data," Working Papers 131, National Institute of Economic Research.
    9. Gren, Ing-Marie, 2003. "Monetary Green Accounting and Ecosystem Services," Working Papers 86, National Institute of Economic Research.
    10. Vartiainen, Juhana, 2010. "Interpreting Wage Bargaining Norms," Working Papers 116, National Institute of Economic Research.
    11. Lindström, Tomas, 2003. "The Role of High-Tech Capital Formation for Swedish Productivity Growth," Working Papers 83, National Institute of Economic Research.
    12. Forslund, Johanna & Samakovlis, Eva & Vredin Johansson, Maria, 2006. "Matters Risk? The Allocation of Government Subsidies for Remediation of Contaminated Sites under the Local Investment Programme," Working Papers 94, National Institute of Economic Research.

    More about this item

    Keywords

    Hierarchies; assignment; fairness; envy;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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